MATHEMATICA BOHEMICA, Vol. 134, No. 4, pp. 359-367, 2009

Some results on order weakly compact operators

Belmesnaoui Aqzzouz, Jawad Hmichane

Belmesnaoui Aqzzouz, Universite Mohammed V-Souissi, Faculte des Sciences Economiques, Juridiques et Sociales, Departement d'Economie, B.P. 5295, SalaEljadida, Morocco, e-mail: baqzzouz@hotmail.com; Jawad Hmichane, Universite Ibn Tofail, Faculte des Sciences, Departement de Mathematiques, B.P. 133, Kenitra, Morocco

Abstract: We establish some properties of the class of order weakly compact operators on Banach lattices. As consequences, we obtain some characterizations of Banach lattices with order continuous norms or whose topological duals have order continuous norms.

Keywords: order weakly compact operator, order continuous norm, discrete vector lattice

Classification (MSC 2000): 46A40, 46B40, 46B42


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